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Finding the Fourth Proportional to 149,139.56, 205,812.63 and 82,071.56

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Solution

The fourth proportional to 149,139.56, 205,812.63 and 82,071.56 is: 113,258.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,139.56 : 205,812.63 = 82,071.56 : x
  2. Step 2: Convert to fraction form
    149,139.56/205,812.63 = 82,071.56/x
  3. Step 3: Cross multiply
    149,139.56x = 205,812.63 × 82,071.56
  4. Step 4: Simplify right side
    149,139.56x = 16,891,364,126.33
  5. Step 5: Solve for x
    x = 16,891,364,126.33/149,139.56
  6. Step 6: Final answer
    x = 113,258.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.